What type of study is this?

This is a Quantitative Study study.

October 5, 2025Open Access

The Ekedahl-Oort and Newton stratification of the GU (3, 2) Shimura variety

Key Points

The study reveals the intersection of Ekedahl-Oort and Newton strata in GU(3,2) Shimura varieties.
It describes abelian varieties of dimension 5 parametrized by these Shimura varieties with characteristic p.
The research focuses on understanding the p-torsion subgroup and p-divisible group relating to these stratifications.
Identifying how these two stratifications interact enhances our understanding of their geometrical structures.

Abstract

This paper concerns the characteristic-p fibers of GU (3, 2) Shimura varieties. Such Shimura varieties parametrize abelian varieties in characteristic p of dimension 5 with an action of signature (3, 2) by an order in an imaginary quadratic field in which p is inert. We completely describe the interaction of two stratifications of these Shimura varieties: the Ekedahl-Oort stratification, based on the isomorphism class of the p-torsion subgroup scheme, and the Newton stratification, based on the isogeny class of the p-divisible group. We identify which Ekedahl-Oort and Newton strata intersect.

Read Full Paperexternally

Mark Helpful

Bookmark

Relay

View Full Paper